Answer
Domain:$\left(-\infty ,\infty \right) $
Range: $\left( 0,\infty \right) $
Work Step by Step
$f\left( x\right) =4^{x}$
Domain of this function is $\left( -\infty ,\infty \right) $
$f\left( -\infty \right) =4^{-\infty }=0;$
$f\left( \infty \right) =4^{\infty }=\infty $
Range is $\left( 0,\infty \right) $